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Vrettas, M., Opper, M., Cornford, D., (2014), "A variational mean field algorithm for efficient inference in large systems of stochastic differential equations", Phys. Rev. E, 91, 1: pg: 012148, (DOI: 10.1103/PhysRevE.91.012148). Cited by:
Zhou, J., Tung, K.K., (2013), "Deducing the multi-decadal anthropogenic global warming trend using pultiple regression analysis", J. Atmospheric Sciences, 70: pg: 3-8, . Cited by:
Kuehn. C. (2013), "Warning signs for wave speed transitions of noisy Fisher-KPP invasion fronts. ", Theoretical Ecology, 6, 3: pg: 295-308, . Cited by:
McGehee, Richard, Lehman, Clarence, (2012), "A Paleoclimate Model of Ice-Albedo Feedback Forced by Variations in Earth's Orbit", SIAM Journal on Applied Dynamical Systems, SIAM, 11, 2: pg: 684-707, 1536-0040
Oestreicher, S., (2014), "PhD Thesis: Forced Oscillators with Dynamic Hopf Bifurcations and applications to Paleoclimate", : University of Minnesota, . Cited by:
Orum, C, Ossiander, M, (2013), "Exponent bounds for a convolution inequality in Euclidean space with applications to the Navier-Stokes equations", Proceedings of the American Mathematical Society, 141, 11: pg: 3883–3897, (DOI: 10.1090/S0002-9939-2013-11662-X). Cited by:
Williams, A.H., Kwiatkowski, M.A., Mortimer, A.L., Marder, E., Zeeman, M.L., Dickinson, P.S., (2013), "Animal-to-animal variability in the phasing of the crustacean cardiac motor pattern: an experimental and computational analysis", J. Neurophysiology, 109: pg: 2451-2465, (DOI: 10.1152/jn.01010.2012). Cited by:
Cai, M., Tung, K. K., (2012), "Robustness of Dynamical Feedbacks from Radiative Forcing: 2% Solar versus 2xCO2 Experiments in an Idealized GCM", J. Atmospheric Sciences, 69: pg: 2256-2271, . Cited by:
D. Blömker, K.J.H. Law, A.M. Stuart and K. Zygalakis, (2012), "The 3DVAR filter for the Navier-Stokes equation: Accuracy and stability in the limit of high-frequency observations", ICNAAM 2012, AIP Conf. Proc., 1479: pg: 916-919, . Cited by:
Louisos, W. F., Hitt, D. L., & Danforth, C. M., (2013), "Chaotic flow in a 2D natural convection loop with heat flux boundaries", International Journal of Heat and Mass Transfer, 61: pg: 565-576, . Cited by:
Orum, C, Cherkaev, E, Golden, KM, (2012), "Recovery of inclusion separations in strongly heterogeneous composites from effective property measurements", Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 468: pg: 784-809, (DOI: doi:10.1098/rspa.2011.0527). Cited by:
Brett, C. E. A., Lam, K. F., Law, K. J. H., McCormick, D. S., Scott, M. R., Stuart, A. M., (2013), "Accuracy and Stability of Filters for Dissipative PDEs", Physica D, 245, 1: pg: 34-45, . Cited by:
Ashwin, P., Wieczorek, S., Vitolo, R., & Cox, P. (2012), "Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system", Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 370, 1962: pg: 1166-1184, . Cited by:
Kuehn. C. (2013), "A mathematical framework for critical transitions: normal forms, variance and applications.", Journal of Nonlinear Science, 23, 3: pg: 457-510, . Cited by:
Dodds, Peter S., Mitchell, Lewis, Reagan, Andrew, J., Danforth, Christopher M., (2014), "Tracking the teletherms: spatiotemporal dynamics of the hottest and coldest days of the year", arXiv:1508.05938, : . Cited by:
Hairer, Martin, Kelly, David, (2014), "Geometric versus non-geometric rough paths", arXiv.org, : University of Warwick, January, . Cited by:
Bliss, C. A., Frank, M. R., Danforth, C. M., Dodds, P.S., (2014), "An Evolutionary Algorithm Approach to Link Prediction in Dynamic Social Networks", Journal of Computational Science, 5, 5: pg: 750-764, . Cited by:
Murphy, N.B., Hohenegger, C., Cherkaev, E., Golden, K.M., (2015), "Spectral measure computations for composite media", Communications in Mathematical Sciences, 13, 4: pg: 825-862, (DOI: 10.4310/CMS.2015.v13.n4.a1). Cited by:
Gidea, M, Sieber, J, Silber, M, Wieczorek, S., eds., eds. (2015), "Preface", Communications in Nonlinear Science and Numerical Simulation, Special issue on 'Tipping Points: Fundamentals and Applications', 22, 1-3: pg: 1-1382, . Cited by:
Koll, D. D. B., & Abbot, D. S. (2013), "Why Tropical Sea Surface Temperature is Insensitive to Ocean Heat Transport Changes", Journal of Climate, 26: pg: 6742–6749, (DOI: 10.1175/JCLI-D-13-00192.1). Cited by:
Cox, Graham, Jones, Christopher K. R. T., Marzuola, Jeremy L., (2015), "A Morse Index Theorem for Elliptic Operators on Bounded Domains", Communications in Partial Differential Equations, 40, 8: pg: p.1467-1497, . Cited by:
Slivinski, Laura, Spiller, Elaine, Apte, Amit, Sandstede, Björn, (2015), "A hybrid particle–ensemble Kalman filter for Lagrangian data assimilation", Monthly Weather Review, 143, 1: pg: 195-211, 0027-0644, . Cited by:
Berwald, J., Gidea, M., Vejdemo-Johansson, M., (2015), "Automatic Recognition and Tagging of Topologically Different Regimes in Dynamical Systems", Discontinuity, Nonlinearity and Complexity, 3, 4: pg: 413-426, . Cited by:
Cox, Graham., Jones, Christopher K. R. T., Latushkin, Yuri, and Sukhtayev, Alim, (2014), "The Morse and Maslov indices for multidimensional Schrodinger operators with matrix-valued potentials.", : (DOI: arXiv:1404.5981v2). Cited by:
Barry, A. M., McGehee, R., & Widiasih, E., (2014), "A Filippov framework for a conceptual climate model", arXiv:1406.6028, : . Cited by:
Aazami, Amir Babak, Cox, Graham, (2014), "Blowup solutions of Jang’s equation near a spacetime singularity", 30, 11: pg: p.115007, . Cited by:
Murphy, N.B., Golden, K.M., (2015), "Random matrix universality for phase transitions in composites", submitted, : . Cited by:
Roberts, A., Widiasih, E., Wechselberger, M., Jones, C.K.R.T., (2014), "Mixed mode oscillations in a conceptual climate model", Physica D Nonlinear Phenomena, 292: pg: 70-83, . Cited by:
Walsh, J., Widiasih, E., (2014), "A dynamics approach to a low-order climate model", Discrete and Continuous Dynamical Systems - Series B (DCDS-B), 19, 1: pg: 257 - 279, (DOI: 10.3934/dcdsb.2014.19.257). Cited by:
Cox, Graham, (2014), "Estimation of co 2 flux from targeted satellite observations: a bayesian approach", Inverse Problems, 30, 11: pg: p.114010, . Cited by:
Morawski, D, (2014), "Masters Thesis: Exploring a simple model for Pleistocene glacial variability", : . Cited by:
Santitissadeekorn, N., Jones, C.K.R.T., Spiller, E., et al., (2014), "Observing System Simulation Experiments of Cross-Layer Lagrangian Data Assimilation", Dynamics of Atmospheres and Oceans, 66: pg: 77-93, . Cited by:
Widiasih, E. R. (2013), "Dynamics of the Budyko Energy Balance Model Read More: http://epubs.siam.org/doi/abs/10.1137/100812306", SIAM Journal on Applied Dynamical Systems, 12, 4: pg: 2068 - 2092, (DOI: 10.1137/100812306). Cited by:
Santitissadeekorn, N., Jones, C.K.R.T., (2014), "Two-stage filtering for joint state-parameter estimation", arXiv:1403.5989, : . Cited by:
Roberts, A., Barry, A.M., McGehee, R., (2014), "On the borderline: sliding canard solutions in the plane", Manuscript in preparation, : . Cited by:
Walsh, J, McGehee, R., (2013), "Modeling Climate Dynamically. The College Mathematics Journal", 44, 5: pg: 350 - 363, (DOI: 10.4169/college.math.j.44.5.350). Cited by:
Rodehacke, C.B., Voigt, A., Ziemen, F., Abbot, D.S., (2013), "An open ocean region in Neoproterozoic glaciations would have to be narrow to allow equatorial ice sheets", Geophys. Res. Lett., 40: pg: 5503-5507, (DOI: 10.1002/2013GL057582). Cited by:
Rackauckas, C, Walsh, J. (2014), "BA Thesis: An attracting Jormungand climate state for an energy balance model with ice line coupling", : . Cited by:
Abbot, D. S., Voigt, A., Branson, M., Pierrehumbert, R. T., Pollard, D., Le Hir, G., Koll, D. D. B., (2012), "Clouds and Snowball Earth Deglaciation", Geophysical Research Letters, 39, L20711: (DOI: 10.1029/2012GL052861). Cited by:
Gully, A., Lin, J., Cherkaev, E. and Golden, K. M. (2015), "Bounds on the complex permittivity of polycrystalline composites by analytic continuation", Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences , 471, 2174: pg: 17, (DOI: 10.1098/rspa.2014.0702). Cited by:
Hill, Kaitlin, Abbot, Dorian S., Silber, Mary, (2015), "Analysis of an Arctic sea ice loss model in the limit of a discontinuous albedo", Submitted to SIADS, : . Cited by:
Vakulenko​, S. A., Sudakov ​, I., Golden, ​ K.M. ​ and Kirievskaya​, D., (2015), "Stability of large ecosystems under climate forcing", arXiv:1412.1006v2, : . Cited by:
Chernyavskaya,​​​ E., Sudakov​, I., Golden​,​ K ​. and Timokhov​, ​ L., (2014), "Surface salinity fields in the Arctic Ocean and statistical approaches to predicting anomalies and patterns", arXiv:1409.2062, : . Cited by:
Ma​,​ Y.P., Sudakov​, ​ I. and Golden ​, ​ K.M., (2014), "Ising model for melt ponds on Arctic sea ice", arXiv.org:1408.2487v2, : . Cited by:
Durazo, J., Kostelich, E., Mahalov, A., Tang, W., (2015), "Observing system experiments with an ionospheric electrodynamics model", Physica Scripta, accepted for publication: . Cited by:
Sudakov, I., Bellsky, T., Usenyuk, S., Polyakova, V., (2015), "Infographics and Mathematics: a Mechanism for Effective Learning in the Classroom", PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, Taylor & Francis Online: (DOI: 10.1080/10511970.2015.1072607). Cited by:
Roberts, Andrew, Saha, Raj, (2015), "Relaxation oscillations in an idealized ocean circulation model,", submitted to Climate Dynamics, : . Cited by:
Roberts, Andrew, (2015), "Canard explosion and relaxation oscillation in piecewise-smooth, continuous systems", submited to SIADS, : . Cited by:
Zhu, Jielin, Kuske, Rachel, Erneux, Thomas, (2015), "Tipping points near a delayed saddle node bifurcation with periodic forcing", Submitted, : . Cited by:
Leifeld,Julie, Hill,Kaitlin, Roberts, Andrew, (2015), "Persistence of saddle behavior in the nonsmooth limit of smooth dynamical systems", : (DOI: arXiv:1504.04671). Cited by:
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